Abeysinghe A Sunethra and Marina R Sooriyarachchi. A Joint Model for Exponential Survival Data and Poisson Count Data.
. 2018; 6(2):72-79. doi: 10.12691/AJAMS-6-2-6
bivariate response, joint model, event counts, survival data
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[1] | Aitkin, M., & Clayton, D. (1980). The fitting of exponential, Weibull and extreme value distributions to complex censored survival data using GLIM. Applied Statistics, 156-163. |
|
[2] | Belot, A., Rondeau, V., & Remontet, L. (2014). A joint frailty model to estimate the recurrence process and the disease-specific mortality process without needing the cause of death. Statistics in Medicine. |
|
[3] | Bender, R., Augustin, T., & Blettner, M. (2005). Generating survival times to simulate Cox proportional hazards models. Statistics in medicine, 24(11), 1713-1723. |
|
[4] | Carroll, R., Ruppert, D., Stefanski, L., & Crainiceanu, C. (2006). Measurement error in nonlinear models: a modern perspective. CRC press. |
|
[5] | Cowling, B. J. (2003). Survival models for censored point processes. Doctoral dissertation, University of Warwick. |
|
[6] | Cowling, B. J., Hutton, J. L., & Shaw, J. E. (2006). Joint modelling of event counts and survival times. Journal of the Royal Statistical Society: Series C (Applied Statistics). |
|
[7] | Crowder, M. J. (2012). Multivariate Survival Analysis and Competing Risks. CRC Press. |
|
[8] | Da Silva, G. T., & De Lima, A. C. (2003). Using SAS software for Multilevel Models in Survival Analysis. PharmaSUG SAS Users Group Conference. Miami, Florida. |
|
[9] | Lai, TL, Lavori, PW, Shih, MC (2012). Sequential design of phase II-III cancer trials. Stat Med, 31, 18:1944-60. |
|
[10] | Liu, L., Wolfe, R. A., & Huang, X. (2004). Shared frailty models for recurrent events and a terminal event. Biometrics, 60(3), 747-756. |
|
[11] | Pinheiro, J.C. and Bates, D.M. (1995), “Approximations to the Log-likelihood Function in the Nonlinear Mixed-effects Model,” Journal of Computational and Graphical Statistics, 4, 12 -35. |
|
[12] | Rizopoulos, D. (2012). Joint Models for Longitudinal and Time-to - Event data with Applications in R . CRC Press. |
|
[13] | Rizopoulos, D. (2012). Fast fitting of joint models for longitudinal and event time data using a pseudo-adaptive Gaussian quadrature rule. Computational Statistics & Data Analysis, 56(3), 491-501. |
|
[14] | Rogers, J. K., & Hutton, J. L. (2013). Joint modelling of pre-randomisation event counts and multiple post-randomisation survival times with cure rates: application to data for early epilepsy and single seizures. Journal of Applied Statistics, 40(3), 546-562. |
|
[15] | Verity, C. M., Hosking, G., & Easter, D. J. (1995). A multicentrecomparative trial of sodium valproate and carbamazepine in paediatric epilepsy.Developmental Medicine & Child Neurology, 37(2), 97-108. |
|
[16] | Vonesh, E. F., Greene, T., & Schluchter, M. D. (2006). Shared parameter models for the joint analysis of longitudinal data and event times. Statistics in medicine, 25(1), 143-163. |
|
[17] | Whitehead, J. (1980). Fitting Cox's regression model to survival data using GLIM .Applied Statistics, 268-275. |
|